The total surface area of the triangular prism is 200 cm².
Triangular prism surface area
Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)
How to find the surface area of the triangular prism?
First, find the height of the prism.
Let h is the height of the prism
Use the pythagoras theorem
then
5² = (6/2)² + h²
5² = 3² + h²
25 = 9 + h²
h² = 25 - 9
h² = 16
h =4
Now apply the surface area formula
total surface area = ( 5 + 5 + 6) 11 + 6×4
= 16 × 11 + 24
= 176 +24
= 200 cm²
Hence the surface area is 200 cm²
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